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We address the unsolved algorithm design problem of choosing a justified regularization parameter in unsupervised domain adaptation. This problem is intriguing as no labels are available in the target domain. Our approach starts with the observation that the widely-used method of minimizing the source error, penalized by a distance measure between source and target feature representations, shares characteristics with regularized ill-posed inverse problems. Regularization parameters in inverse problems are optimally chosen by the fundamental principle of balancing approximation and sampling errors. We use this principle to balance learning errors and domain distance in a target error bound. As a result, we obtain a theoretically justified rule for the choice of the regularization parameter. In contrast to the state of the art, our approach allows source and target distributions with disjoint supports. An empirical comparative study on benchmark datasets underpins the performance of our approach.
Author Information
Werner Zellinger (Software Competence Center Hagenberg GmbH)
Natalia Shepeleva (Johannes Kepler University Linz)
Marius-Constantin Dinu (LIT AI Lab, Institute for Machine Learning, Johannes Kepler University Linz, Dynatrace Research)
Hamid Eghbal-zadeh (LIT AI Lab & Institute of Computational Perception, Johannes Kepler University of Linz)
Hoan Duc Nguyen (The Johann Radon Institute for Computational and Applied Mathematics)
Bernhard Nessler (LIT AI Lab, University Linz)
Sergei Pereverzyev (The Johann Radon Institute for Computational and Applied Mathematics (RICAM))
Bernhard A. Moser
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